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Description
SESSION MARCH 2023
PROGRAM MCA
SEMESTER I
COURSE CODE & NAME DCA6103, FOUNDATION OF MATHEMATICS
CREDITS 4
SET-I
- State inclusion-exclusion principle. In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English and not Hindi? How many people speak English?
Solution: The inclusion-exclusion principle states that the size of the union of two or more sets is equal to the sum of their sizes minus the size of their intersection(s).
Let E be the set of people who speak English and H be the set of people who speak Hindi. We are given